Oscillation of higher order neutral type nonlinear difference equations with forcing terms. (English) Zbl 1198.39011
Summary: We study oscillatory behaviour of the following forced nonlinear difference equation:
\[
\Delta^m(y_n+p_ny_{n-\sigma} )+q_nf(y_{n-\tau})=r_n.
\]
Unlike to the most of the existing results in the literature, we give some new criteria which do not depend on the usual restrictions on the terms \(p_n, q_n\) and \(r_n\). We consider the cases where \(p_n\) is eventually of fixed sign and oscillatory, and \(q_n\) is of eventually fixed sign and oscillatory. We also give various numerical simulations by using the MATLAB programming to support the results.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
MSC:
| 39A21 | Oscillation theory for difference equations |
Software:
MatlabReferences:
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